Question Text
Question 2 :
State true or false:
The sum of the squares of the sides of a rhombus is equal to the sum of the squares of its diagonals.
Question 3 :
A ladder 10 m long reaches a window 8 m above the ground. Find the distance of the foot of the ladder from base of the wall.
Question 4 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19c72273b230584979add.PNG' />
In the above fig, AD is a median of a triangle ABC and AM ⊥ BC. Is $AC^2 + AB^2$ = $2AD^2 + \frac{1}{2} BC^{2}$?
Question 5 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19c42273b230584979aa4.PNG' />
∆ ABC, DE || BC and $\frac{AD}{DB}$ = $\frac{AE}{EC}$. Which theorem is this ?
Question 6 :
If in $\Delta$ABC and $\Delta$DEF, $\frac{AB}{DE}=\frac{BC}{FD}$ then they will be similar, when
Question 7 :
It is given that $\Delta$ ABC ~ $\Delta$ EDF such that AB = 5 cm,AC = 7 cm, DF= 15 cm and DE = 12 cm. Find the lengths of the remaining sides of the triangles.
Question 8 :
If $\Delta$ABC ~ $\Delta$QRP, $\frac{area\ of\ ABC}{area\ of\ PQR} = \frac{9}{4}$ , AB = 18 cm and BC = 15 cm, then PR is equal to
Question 9 :
A vertical pole of length 6 m casts a shadow 4 m long on the ground and at the same time a tower casts a shadow 28 m long. Find the height of the tower.
Question 10 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b19b9b273b2305849799da.png' />
In the above figure, if $\angle$1=$\angle$2 and $\Delta$ NSQ is congruent to $\Delta$ MTR, then $\Delta$ PTS is similar to $\Delta$ PRQ.